RELATIVE EFFICIENCY OF FINITE-DIFFERENCE AND FINITE-ELEMENT METHODS .1. HYPERBOLIC PROBLEMS AND SPLINES

被引：60

作者：

SWARTZ, B ^{[1
]}

WENDROFF, B ^{[1
]}

机构：

[1] UNIV CALIF LOS ALAMOS SCI LAB, LOS ALAMOS, NM 87544 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1974年 / 11卷 / 05期

关键词：

D O I：

10.1137/0711076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The finite-element method, using smooth splines as basic functions, applied to the model problem u//t equals cu//x with periodic data generates a differential-difference equation whose phase error is closely estimated and compared with the phase error of both explicit and high-order implicit centered differencing. The minimum work required to obtain a fixed error for several fully discrete schemes is computed and compared.

引用

页码：979 / 993

页数：15

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